Nonlinear Eigen frequencies of a functionally graded porous nano-beam with respect to the coulomb and Casimir forces
نویسندگان
چکیده
A new mathematical model of a porous functionally graded micro/nano-beam under the action Casimir force and Coulomb is constructed in this paper. The construction takes into account Euler-Bernoulli kinematic model. dimensional-dependent parameter taken by modified moment theory elasticity. variational, differential equations, boundary initial conditions are derived from Ostrogradsky-Hamiltonian variational principle. problem non-linear natural oscillations beam solved. influence forces on nonlinear eigenfrequencies shown.
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ژورنال
عنوان ژورنال: E3S web of conferences
سال: 2023
ISSN: ['2555-0403', '2267-1242']
DOI: https://doi.org/10.1051/e3sconf/202338901029